Prime p₀= 1269053979658045949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: mikey
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1269052743541618907	0 2 84 86 132 134 180 182 264 266	-1236116427042
SPT(16)	1269052825453830317	0 20 32 36 60 62 80 104 222 246 264 266 290 294 306 326	-1154204215632
SPT(16)	1269053257816071649	0 48 70 78 88 120 162 172 210 220 262 294 304 312 334 382	-721841974300
SPT(16)	1269053355612797929	0 4 12 30 72 114 118 154 198 234 238 280 322 340 348 352	-624045248020
STPT(10)	1269053405668511927	0 2 60 62 102 104 144 146 204 206	-573989534022
STPT(10)	1269053827427430617	0 2 42 44 72 74 102 104 144 146	-152230615332
SPT(16)	1269054080953775521	0 12 52 66 70 88 100 108 130 138 150 168 172 186 226 238	101295729572
SPT(16)	1269054261591626723	0 36 50 80 90 98 108 180 206 278 288 296 306 336 350 386	281933580774
SPT(16)	1269054285230865559	0 12 30 34 48 72 100 132 160 192 220 244 258 262 280 292	305572819610
SPT(13)	1269054291696933367	0 6 36 66 96 126 150 174 204 234 264 294 300	312038887418
TPT(14)	1269054357574623329	0 2 12 14 90 92 210 212 222 224 318 320 360 362	377916577380